Question

Find the ratio of the trig function indicated.

Answer 1

`\huge\boxed{\bf\:Ratio = 4:5}`

Explanation:

We have a right angled triangle given.

At first, let's note that, sin θ = oppposite side of the triangle / hypotenuse of the triangle.

Now, in the given triangle, from the view of ∠θ,

• Opposite side of the triangle = 8
• Hypotenuse = 10

Then,

`\sin \theta = \mathrm{(opposite \: side)/(hypotenuse)}\\\sin\theta = (8)/(10)\\\sin\theta = (4)/(5)\\\\\\\Longrightarrow \boxed{\mathrm{Ratio = 4:5}}`

`\rule{150pt}{2pt}`